Some boundary value problems for a micropolar porous elastic body

• Autorzy: Janjgava R. , Gulua B. , Tsotniashvili S.

Identyfikatory

DOI

10.24423/aom.3504

• Języki publikacji: EN

Abstrakty

EN

The paper reviews the static equilibrium of a micropolar porous elastic material. We assume that the body under consideration is an elastic Cosserat media with voids, however, it can also be considered as an elastic microstretch solid, since the basic differential equations and mathematical formulations of boundary value problems in these two cases are actually identical. As regards the three-dimensional case, the existence and uniqueness of a weak solution of some boundary value problems are proved. The two-dimensional system of equations corresponding to a plane deformation case is written in a complex form and its general solution is presented with the use of two analytic functions of a complex variable and two solutions of the Helmholtz equations. On the basis of the constructed general representation, specific boundary value problems are solved for a circle and an infinite plane with a circular hole.

Słowa kluczowe

EN

materials with voids; Cosserat elastic media; theory of microstretch; boundary value problems; circle and infinite plane with a circular hole

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2020
• Tom: Vol. 72, nr 6
• Strony: 485--509
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Janjgava R.

• Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University, 0186, University Street, Tbilisi, Georgia
• Georgian National University SEU, 9 Tsinandali Street, Tbilisi, Georgia

autor

Gulua B.

• Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University, 0186, University Street, Tbilisi, Georgia

autor

Tsotniashvili S.

• Gori State Teaching University, 53 Chavchavadze Ave., Gori, Georgia

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